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Preprints, Working Papers, ... (Preprint) Year : 2023

Parallel approximation of the exponential of Hermitian matrices

Approximation parallèle de l'exponentielle de matrices Hermitiennes

Abstract

We are interested in the approximation of the exponential function on a real interval by a particular rational function (inverse of a polynomial). Using the partial fraction decomposition of this rational function, we build an algorithm for computing the exponential of a matrix that is adapted to parallel computing. The performances of this parallel algorithm, both in accuracy and in computing time, are quantitatively analyzed.
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Dates and versions

hal-03948509 , version 1 (20-01-2023)
hal-03948509 , version 2 (28-06-2023)

Identifiers

  • HAL Id : hal-03948509 , version 1

Cite

Frédéric Hecht, Sidi-Mahmoud Kaber, Lucas Perrin, Alain Plagne, Julien Salomon. Parallel approximation of the exponential of Hermitian matrices. 2023. ⟨hal-03948509v1⟩
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